Judicial cooperation between EU Member-States and Ukraine is still at a basic level. The EU-Ukraine Association Agreement does not prove an appropriate approach, and their relations are regulated mostly with the bilateral agreements. The Baltic states and Ukraine, which are the focus of this research, are deeply engaged by their close geographical location, common historical issues and friendly relations, and seek further development of their relations. This should be accompanied by mutual judiciary trust and therefore by the corresponding evolution of bilateral relations proper to this trust. The following types of judicial cooperation in civil matters were chosen as objects of this research: recognition of Baltic States’ courts’ judgments in Ukraine, as well as service of documents and taking of evidence in Ukraine. The conclusions consist of several proposals related to deeper judicial cooperation between Member-States and third countries, illustrated by the example of the Baltic States and Ukraine, in light of the right to fair trial and mutual trust in the judiciary.